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Finding the Fourth Proportional to 7,628.75, 11,411.53 and 7,162.19

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Solution

The fourth proportional to 7,628.75, 11,411.53 and 7,162.19 is: 10,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.75 : 11,411.53 = 7,162.19 : x
  2. Step 2: Convert to fraction form
    7,628.75/11,411.53 = 7,162.19/x
  3. Step 3: Cross multiply
    7,628.75x = 11,411.53 × 7,162.19
  4. Step 4: Simplify right side
    7,628.75x = 81,731,546.05
  5. Step 5: Solve for x
    x = 81,731,546.05/7,628.75
  6. Step 6: Final answer
    x = 10,713.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.